5263763477760 has 1152 divisors, whose sum is σ = 20603520000000. Its totient is φ = 1267323273216.

The previous prime is 5263763477669. The next prime is 5263763477771. The reversal of 5263763477760 is 677743673625.

It is a happy number.

5263763477760 is a `hidden beast` number, since 5 + 2 + 6 + 37 + 63 + 477 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1504360491 + ... + 1504363989.

It is an arithmetic number, because the mean of its divisors is an integer number (17885000000).

Almost surely, 2^{5263763477760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5263763477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301760000000).

5263763477760 is an abundant number, since it is smaller than the sum of its proper divisors (15339756522240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5263763477760 is a wasteful number, since it uses less digits than its factorization.

5263763477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 63.

The spelling of 5263763477760 in words is "five trillion, two hundred sixty-three billion, seven hundred sixty-three million, four hundred seventy-seven thousand, seven hundred sixty".